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Finding the Fourth Proportional to 482,893,164.70, 724,339,747.05 and 405,409,066.90

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Solution

The fourth proportional to 482,893,164.70, 724,339,747.05 and 405,409,066.90 is: 608,113,600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,893,164.70 : 724,339,747.05 = 405,409,066.90 : x
  2. Step 2: Convert to fraction form
    482,893,164.70/724,339,747.05 = 405,409,066.90/x
  3. Step 3: Cross multiply
    482,893,164.70x = 724,339,747.05 × 405,409,066.90
  4. Step 4: Simplify right side
    482,893,164.70x = 293,653,900,970,122,496
  5. Step 5: Solve for x
    x = 293,653,900,970,122,496/482,893,164.70
  6. Step 6: Final answer
    x = 608,113,600.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.